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saturn.c
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// HDS OPE file Editor
// saturn.c : imported from libnova
// 2012.10.22 A.Tajitsu
/*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* Some functions in this file use the VSOP87 solution by
* Messrs. Bretagnon and Francou.
*
* Copyright (C) 2000 - 2005 Liam Girdwood
*/
#include <math.h>
#include "libnova/saturn.h"
#include "libnova/vsop87.h"
#include "libnova/solar.h"
#include "libnova/earth.h"
#include "libnova/transform.h"
#include "libnova/rise_set.h"
#include "libnova/utility.h"
#define LONG_L0 1437
#define LONG_L1 817
#define LONG_L2 438
#define LONG_L3 192
#define LONG_L4 85
#define LONG_L5 30
#define LAT_B0 500
#define LAT_B1 247
#define LAT_B2 111
#define LAT_B3 54
#define LAT_B4 24
#define LAT_B5 11
#define RADIUS_R0 1208
#define RADIUS_R1 627
#define RADIUS_R2 338
#define RADIUS_R3 154
#define RADIUS_R4 65
#define RADIUS_R5 27
/* cache variables */
static double cJD = 0, cL = 0, cB = 0, cR = 0;
static const struct ln_vsop saturn_longitude_l0[LONG_L0] = {
{ 0.87401354025, 0.00000000000, 0.00000000000},
{ 0.11107659762, 3.96205090159, 213.29909543800},
{ 0.01414150957, 4.58581516874, 7.11354700080},
{ 0.00398379389, 0.52112032699, 206.18554843720},
{ 0.00350769243, 3.30329907896, 426.59819087600},
{ 0.00206816305, 0.24658372002, 103.09277421860},
{ 0.00079271300, 3.84007056878, 220.41264243880},
{ 0.00023990355, 4.66976924553, 110.20632121940},
{ 0.00016573588, 0.43719228296, 419.48464387520},
{ 0.00014906995, 5.76903183869, 316.39186965660},
{ 0.00015820290, 0.93809155235, 632.78373931320},
{ 0.00014609559, 1.56518472000, 3.93215326310},
{ 0.00013160301, 4.44891291899, 14.22709400160},
{ 0.00015053543, 2.71669915667, 639.89728631400},
{ 0.00013005299, 5.98119023644, 11.04570026390},
{ 0.00010725067, 3.12939523827, 202.25339517410},
{ 0.00005863206, 0.23656938524, 529.69096509460},
{ 0.00005227757, 4.20783365759, 3.18139373770},
{ 0.00006126317, 1.76328667907, 277.03499374140},
{ 0.00005019687, 3.17787728405, 433.71173787680},
{ 0.00004592550, 0.61977744975, 199.07200143640},
{ 0.00004005867, 2.24479718502, 63.73589830340},
{ 0.00002953796, 0.98280366998, 95.97922721780},
{ 0.00003873670, 3.22283226966, 138.51749687070},
{ 0.00002461186, 2.03163875071, 735.87651353180},
{ 0.00003269484, 0.77492638211, 949.17560896980},
{ 0.00001758145, 3.26580109940, 522.57741809380},
{ 0.00001640172, 5.50504453050, 846.08283475120},
{ 0.00001391327, 4.02333150505, 323.50541665740},
{ 0.00001580648, 4.37265307169, 309.27832265580},
{ 0.00001123498, 2.83726798446, 415.55249061210},
{ 0.00001017275, 3.71700135395, 227.52618943960},
{ 0.00000848642, 3.19150170830, 209.36694217490},
{ 0.00001087229, 4.18343257560, 2.44768055480},
{ 0.00000956757, 0.50744342622, 1265.56747862640},
{ 0.00000789205, 5.00745127508, 0.96320784650},
{ 0.00000686999, 1.74714152638, 1052.26838318840},
{ 0.00000654484, 1.59889329033, 0.04818410980},
{ 0.00000748819, 2.14396789786, 853.19638175200},
{ 0.00000633982, 2.29887419204, 412.37109687440},
{ 0.00000743599, 5.25277685028, 224.34479570190},
{ 0.00000852677, 3.42141279787, 175.16605980020},
{ 0.00000579844, 3.09254750266, 74.78159856730},
{ 0.00000624883, 0.97048087510, 210.11770170030},
{ 0.00000529874, 4.44938991187, 117.31986822020},
{ 0.00000542648, 1.51824981131, 9.56122755560},
{ 0.00000474277, 5.47526482059, 742.99006053260},
{ 0.00000448547, 1.28991363969, 127.47179660680},
{ 0.00000546365, 2.12677911914, 350.33211960040},
{ 0.00000478044, 2.96486700885, 137.03302416240},
{ 0.00000354988, 3.01280169452, 838.96928775040},
{ 0.00000451857, 1.04437293342, 490.33408917940},
{ 0.00000347422, 1.53923267387, 340.77089204480},
{ 0.00000343481, 0.24603836481, 0.52126486180},
{ 0.00000309029, 3.49491017725, 216.48048917570},
{ 0.00000322189, 0.96136528867, 203.73786788240},
{ 0.00000372318, 2.27822895353, 217.23124870110},
{ 0.00000321562, 2.57185176731, 647.01083331480},
{ 0.00000330197, 0.24721738903, 1581.95934828300},
{ 0.00000249142, 1.47004230445, 1368.66025284500},
{ 0.00000286703, 2.37046001635, 351.81659230870},
{ 0.00000220225, 4.20421716654, 200.76892246580},
{ 0.00000277774, 0.40024010033, 211.81462272970},
{ 0.00000204520, 6.01073368945, 265.98929347750},
{ 0.00000207645, 0.48344140678, 1162.47470440780},
{ 0.00000208650, 1.34533476508, 625.67019231240},
{ 0.00000182459, 5.49122412646, 2.92076130680},
{ 0.00000226601, 4.90997278296, 12.53017297220},
{ 0.00000207666, 1.28298038875, 39.35687591520},
{ 0.00000173914, 1.86305647242, 0.75075952540},
{ 0.00000184698, 3.50349102817, 149.56319713460},
{ 0.00000183509, 0.97260974474, 4.19278569400},
{ 0.00000146074, 6.23107926975, 195.13984817330},
{ 0.00000164541, 0.44004693949, 5.41662597140},
{ 0.00000147544, 1.53530368067, 5.62907429250},
{ 0.00000139690, 4.29463428594, 21.34064100240},
{ 0.00000131292, 4.06829024226, 10.29494073850},
{ 0.00000117326, 2.67913173095, 1155.36115740700},
{ 0.00000149302, 5.73592320434, 52.69019803950},
{ 0.00000122371, 1.97585460706, 4.66586644600},
{ 0.00000113737, 5.59421876022, 1059.38193018920},
{ 0.00000102689, 1.19754453191, 1685.05212250160},
{ 0.00000118169, 5.34072820318, 554.06998748280},
{ 0.00000109287, 3.43808188855, 536.80451209540},
{ 0.00000110400, 0.16605133194, 1.48447270830},
{ 0.00000124980, 6.27738701225, 1898.35121793960},
{ 0.00000089916, 5.80394843417, 114.13847448250},
{ 0.00000103968, 2.19185625957, 88.86568021700},
{ 0.00000112430, 1.10510750315, 191.20769491020},
{ 0.00000106578, 4.01153470635, 956.28915597060},
{ 0.00000091425, 1.87523841598, 38.13303563780},
{ 0.00000083763, 5.48810655641, 0.11187458460},
{ 0.00000083489, 2.28927138986, 628.85158605010},
{ 0.00000096973, 4.53662541679, 302.16477565500},
{ 0.00000100634, 4.96513420321, 269.92144674060},
{ 0.00000075496, 2.18005762811, 728.76296653100},
{ 0.00000096330, 2.83319249226, 275.55052103310},
{ 0.00000082386, 3.05482650543, 440.82528487760},
{ 0.00000073896, 5.08917637074, 1375.77379984580},
{ 0.00000071625, 5.10946423579, 65.22037101170},
{ 0.00000070386, 4.86846451411, 0.21244832110},
{ 0.00000069760, 3.71027033119, 14.97785352700},
{ 0.00000088771, 3.86334160349, 278.51946644970},
{ 0.00000068092, 0.73430499450, 1478.86657406440},
{ 0.00000066481, 0.02658132849, 70.84944530420},
{ 0.00000065694, 2.02147100289, 142.44965013380},
{ 0.00000075752, 1.61413426010, 284.14854074220},
{ 0.00000063138, 3.49495099319, 479.28838891550},
{ 0.00000062557, 2.58733971413, 422.66603761290},
{ 0.00000069300, 3.44002100885, 515.46387109300},
{ 0.00000079010, 4.45159676932, 35.42472265210},
{ 0.00000063664, 3.31747980190, 62.25142559510},
{ 0.00000052994, 5.51392725227, 0.26063243090},
{ 0.00000053017, 3.18475265559, 8.07675484730},
{ 0.00000054492, 2.45664158976, 22.09140052780},
{ 0.00000050507, 4.26791628421, 99.16062095550},
{ 0.00000055159, 0.96792241728, 942.06206196900},
{ 0.00000049320, 2.38666475800, 1471.75302706360},
{ 0.00000047203, 2.02525393154, 312.19908396260},
{ 0.00000061090, 1.50302054623, 210.85141488320},
{ 0.00000060676, 2.68689407241, 388.46515523820},
{ 0.00000045138, 0.93106348303, 2001.44399215820},
{ 0.00000043450, 2.52603236088, 288.08069400530},
{ 0.00000042562, 3.81786681717, 330.61896365820},
{ 0.00000039933, 5.71382574413, 408.43894361130},
{ 0.00000050125, 6.03152570850, 2214.74308759620},
{ 0.00000046031, 0.54227917765, 212.33588759150},
{ 0.00000054160, 0.78128719345, 191.95845443560},
{ 0.00000047042, 4.59902370789, 437.64389113990},
{ 0.00000042367, 1.90069581380, 430.53034413910},
{ 0.00000039759, 1.63243208156, 1066.49547719000},
{ 0.00000036469, 0.84688120284, 213.34727954780},
{ 0.00000035468, 4.18601929802, 215.74677599280},
{ 0.00000036469, 3.93224996469, 213.25091132820},
{ 0.00000038003, 0.31314052371, 423.41679713830},
{ 0.00000044824, 1.12406079738, 6.15033915430},
{ 0.00000037902, 1.19795851065, 2.70831298570},
{ 0.00000043405, 1.37360455570, 563.63121503840},
{ 0.00000043913, 3.93075296633, 525.49817940060},
{ 0.00000034837, 1.01543342379, 203.00415469950},
{ 0.00000031755, 1.69273634405, 0.16005869440},
{ 0.00000030892, 6.13529793424, 417.03696332040},
{ 0.00000036407, 6.00604303567, 18.15924726470},
{ 0.00000029157, 1.19375828579, 404.50679034820},
{ 0.00000032811, 0.53654765923, 107.02492748170},
{ 0.00000030461, 0.72314414241, 222.86032299360},
{ 0.00000032668, 0.81193242653, 1795.25844372100},
{ 0.00000037741, 3.69667138462, 1272.68102562720},
{ 0.00000027679, 1.45663968120, 7.16173111060},
{ 0.00000027165, 1.89600219634, 1045.15483618760},
{ 0.00000037836, 4.51945172068, 24.37902238820},
{ 0.00000035003, 4.46092370686, 214.26230328450},
{ 0.00000032661, 0.66347743190, 692.58748435350},
{ 0.00000030436, 5.30241022019, 33.94024994380},
{ 0.00000027579, 6.22702209204, 1.27202438720},
{ 0.00000026658, 4.56713174166, 7.06536289100},
{ 0.00000031745, 5.49844823318, 56.62235130260},
{ 0.00000028153, 5.64388600762, 128.95626931510},
{ 0.00000024275, 3.93953220869, 414.06801790380},
{ 0.00000032024, 5.22237631301, 92.04707395470},
{ 0.00000023059, 3.66034194445, 207.67002114550},
{ 0.00000026975, 0.06644184255, 205.22234059070},
{ 0.00000031825, 5.59208218558, 6069.77675455340},
{ 0.00000023153, 2.10053945000, 1788.14489672020},
{ 0.00000031040, 0.37144696566, 703.63318461740},
{ 0.00000029384, 0.14749408878, 131.40394986990},
{ 0.00000022551, 5.23994780210, 212.77783057620},
{ 0.00000026183, 5.41312719168, 140.00196957900},
{ 0.00000025779, 4.36084632109, 32.24332891440},
{ 0.00000020659, 0.67095777002, 2317.83586181480},
{ 0.00000020362, 2.82404200673, 429.77958461370},
{ 0.00000024404, 3.08826377429, 145.63104387150},
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